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This paper presents an efficient passive macromodeling algorithm for distributed lossy multiconductor transmission lines based on the method of characteristics (MoC). A proof is provided that specifies sufficient conditions to guarantee the passivity of the MoC by construction. A key feature of the proposed algorithm is that the curve fitting to realize the MoC depends only on the per-unit-length (p.u.l.) parameters and not on the discretization of the macromodel. Thus, with the knowledge of the rational functions derived by the p.u.l. parameters, the MoC is formulated in a closed form manner for any line length while ensuring passivity.